On 2014/11/21, 4:42 PM, Nathaniel Smith wrote: > On Fri, Nov 21, 2014 at 5:46 PM, Darren Dale <dsdal...@gmail.com> wrote: >> On Fri, Nov 21, 2014 at 12:32 PM, Phil Elson <pelson....@gmail.com> wrote: >>> >>> Please use this thread to discuss the best choice for a new default >>> matplotlib colormap. >>> >>> This follows on from a discussion on the matplotlib-devel mailing list >>> entitled "How to move beyond JET as the default matplotlib colormap". >> >> >> I remember reading a (peer-reviewed, I think) article about how "jet" was a >> very unfortunate choice of default. I can't find the exact article now, but >> I did find some other useful ones: >> >> http://cresspahl.blogspot.com/2012/03/expanded-control-of-octaves-colormap.html >> http://www.sandia.gov/~kmorel/documents/ColorMaps/ >> http://www.sandia.gov/~kmorel/documents/ColorMaps/ColorMapsExpanded.pdf > > Those are good articles. There's a lot of literature on the problems > with "jet", and lots of links in the matplotlib issue [1]. For those > trying to get up to speed quickly, MathWorks recently put together a > nice review of the literature [2]. One particularly striking paper > they cite studied a group of medical students and found that (a) they > were used to/practiced at using jet, (b) when given a choice of > colormaps they said that they preferred jet, (c) they nonetheless made > more *medical diagnostic errors* when using jet than with better > designed colormaps (Borkin et al, 2011). > > I won't suggest a specific colormap, but I do propose that whatever we > chose satisfy the following criteria: > > - it should be a sequential colormap, because diverging colormaps are > really misleading unless you know where the "center" of the data is, > and for a default colormap we generally won't. > > - it should be perceptually uniform, i.e., human subjective judgements > of how far apart nearby colors are should correspond as linearly as > possible to the difference between the numerical values they > represent, at least locally. There's lots of research on how to > measure perceptual distance -- a colleague and I happen to have > recently implemented a state-of-the-art model of this for another > project, in case anyone wants to play with it [3], or just using > good-old-L*a*b* is a reasonable quick-and-dirty approximation. > > - it should have a perceptually uniform luminance ramp, i.e. if you > convert to greyscale it should still be uniform. This is useful both > in practical terms (greyscale printers are still a thing!) and because > luminance is a very strong and natural cue to magnitude. > > - it should also have some kind of variation in hue, because hue > variation is a really helpful additional cue to perception, having two > cues is better than one, and there's no reason not to do it. > > - the hue variation should be chosen to produce reasonable results > even for viewers with the more common types of colorblindness. (Which > rules out things like red-to-green.) > > And, for bonus points, it would be nice to choose a hue ramp that > still works if you throw away the luminance variation, because then we > could use the version with varying luminance for 2d plots, and the > version with just hue variation for 3d plots. (In 3d plots you really > want to reserve the luminance channel for lighting/shading, because > your brain is *really* good at extracting 3d shape from luminance > variation. If the 3d surface itself has massively varying luminance > then this screws up the ability to see shape.) > > Do these seem like good requirements?
Goals, yes, though I wouldn't put much weight on the "bonus" criterion. I would add that it should be aesthetically pleasing, or at least comfortable, to most people. Perfection might not be attainable, and some tradeoffs may be required. Is anyone set up to produce test images and/or metrics for judging existing colormaps, or newly designed ones, on all of these criteria? Eric > > -n > > [1] https://github.com/matplotlib/matplotlib/issues/875 > [2] > http://uk.mathworks.com/company/newsletters/articles/rainbow-color-map-critiques-an-overview-and-annotated-bibliography.html > [3] https://github.com/njsmith/pycam02ucs ; install (or just run out > of the source tree) and then use pycam02ucs.deltaEp_sRGB to compute > the perceptual distance between two RGB colors. It's also possible to > use the underlying color model stuff to do things like generate colors > with evenly spaced luminance and hues, or draw 3d plots of the shape > of the human color space. It's pretty fun to play with :-) > ------------------------------------------------------------------------------ Download BIRT iHub F-Type - The Free Enterprise-Grade BIRT Server from Actuate! Instantly Supercharge Your Business Reports and Dashboards with Interactivity, Sharing, Native Excel Exports, App Integration & more Get technology previously reserved for billion-dollar corporations, FREE http://pubads.g.doubleclick.net/gampad/clk?id=157005751&iu=/4140/ostg.clktrk _______________________________________________ Matplotlib-devel mailing list Matplotlib-devel@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/matplotlib-devel
